Base game
- Greenland Complete all levels in Greenland (normal mode) 4.6%Ultra rare
- Midnight Complete all levels in Midnight (normal mode) 1.5%Ultra rare
- Sandland Complete all levels in Sandland (normal mode) 1.2%Ultra rare
- Snowland Complete all levels in Snowland (normal mode) 0.9%Ultra rare
- Master Collector Collect 90 stars (normal mode) 0.6%Ultra rare
- Star Hunter Collect 120 stars (normal mode) 0.6%Ultra rare
- Beginner Bounce Complete all levels (easy mode) 0.8%Ultra rare
- Elite Bounce Complete all levels (normal mode) 0.8%Ultra rare
- Insane! Complete all levels (impossible mode) 0.6%Ultra rare
- Fast Bounce Play level under one minute 7.6%Very rare
- 100% Complete Earn all Bounce Rescue! trophies to unlock this trophy 0.5%Ultra rare
- Secret trophy Its name and description stay hidden until you earn it. 41.3%Rare
- Secret trophy Its name and description stay hidden until you earn it. 2.8%Ultra rare
Trophy names, descriptions and rarity come from PlayStation. Guides open on their authors' own websites.